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2 years ago

Find the inequality represented by the graph

Mathematics

2 answers:

Vika [28.1K]2 years ago

8 0

Answer:

y < 1/4x + 3

Step-by-step explanation:

the line is dotted so we know the symbol will not include the "equal to" part

we can also see that the shading in below the y intercept, so we know that the symbol will also be less than

this means the symbol is <

now, create an equation for the line:

we know that the y intercept is 3, and that there is a rise of 1 and a walk of 4

so the slope is 1/4

now put this together and you get 1/4x + 3

this part will go on the right side of the < symbol in your inequality

so now you can create an inequality: y < 1/4x + 3

Ahat [919]2 years ago

8 0

Answer:

y < $\frac{1}{4}$ x + 3

Step-by-step explanation:

m = $\frac{1}{4}$ and coordinates of y-intercept are (0, 3)

y <  $\frac{1}{4}$  x + 3

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A circular pond 24 yd in

Schach [20]

Answer:

The walk will cost $8164.

Step-by-step explanation:

Given:

Diameter of the circular pond (D) = 24 yd

Width of the gravel path (x) = 2 yd

Cost per yard of the path = $50

Now, radius of the circular pond is half of the diameter and is given as:

$Radius,R=\frac{D}{2}=\frac{24}{2}=12\ yd$

Now, area of the pond is given as:

$A_{pond}=\pi R^2=3.14\times (12)^2=3.14\times 144=452.16\ yd^2$

Area of the complete path including the pond area is given as:

$A_{outer}=\pi(R+x)^2=3.14\times(12+2)^2=3.14\times196=615.44\ yd^2$

Now, area of the gravel path can be obtained by subtracting the pond area from the total outer area. This gives,

$A_{path}=A_{outer}-A_{pond}\\\\A_{path}=615.44-452.16=163.28\ yd^2$

Now, using unitary method,

Cost of 1 square yard of path = $50

∴ Cost of 163.28 square yard of path = 50 × 163.28 = $8164

Hence, the walk will cost $8164.

5 0

2 years ago

Read 2 more answers

Compare -5 and -3.

Nuetrik [128]

Answer:

Simplifying then comparing both terms

−5 and −3, −5 is less than −3, which means that the first term is less than the second term. −5 < −3

Step-by-step explanation:

Hope this helps have a good day^^

7 0

2 years ago

Determine whether the equation y-y=y is sometimes,always, or never true?

beks73 [17]

The answer is it is yes, it is sometimes true, y can =0

6 0

2 years ago

Which of the following is the inverse of the given function? Y=3x^5-4

lawyer [7]

$y\textrm{ }=\textrm{ }(\frac{x\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }$

Step-by-step explanation:

Given function $y\textrm{ }=\textrm{ }3x^{5}\textrm{ }-\textrm{ }4$

To find an inverse for any given function, which is of the form $y=f(x)$ , always swap $x$ and $y$ in the equation and try to get the form $x=f(y)$ . Now, swapping back $x$ and $y$ , we get the inverse function.

On swapping $x$ and $y$ , we get $x\textrm{ }=\textrm{ }3y^{5}\textrm{ }-\textrm{ }4$

$y\textrm{ }+\textrm{ }4\textrm{ }=\textrm{ }3x^{5}$

$x^{5}\textrm{ }=\textrm{ }\frac{y\textrm{ }+\textrm{ }4}{3}$

$x\textrm{ }=\textrm{ }(\frac{y\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }$

Swapping back $x$ and $y$ , we get $y\textrm{ }=\textrm{ }(\frac{x\textrm{ }+\textrm{ }4}{3} )^{\frac{1}{5} }$

This is the inverse function.

3 0

2 years ago

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Aliun [14]

5. Line e and line c
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3 0

2 years ago

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Find the inequality represented by the graph​

Find the inequality represented by the graph